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Verified Answer :

\(sec(2x)-1 \\ \\ \frac{1}{cos(2x)} -1 \\ \\ \frac{1}{1-2 sin^{2}(x) } -1\\ \\ \frac{1}{1-2 sin^{2}(x) } - \frac{1-2 sin^{2}(x) }{1-2 sin^{2}(x) } \\ \\ \frac{2 sin^{2}(x) }{1-2 sin^{2}(x) }\)

Answer:

cos2x

Step-by-step explanation: